{"id":22662,"date":"2022-05-23T19:00:51","date_gmt":"2022-05-23T13:30:51","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=22662"},"modified":"2023-11-10T10:25:45","modified_gmt":"2023-11-10T04:55:45","slug":"selina-concise-mathematics-class-7-icse-solutions-exponents-including-laws-of-exponents","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/selina-concise-mathematics-class-7-icse-solutions-exponents-including-laws-of-exponents\/","title":{"rendered":"Selina Concise Mathematics class 7 ICSE Solutions – Exponents (Including Laws of Exponents)"},"content":{"rendered":"
ICSE Solutions<\/a>Selina ICSE Solutions<\/a>ML Aggarwal Solutions<\/a><\/p>\n APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 7 Mathematics. You can download the Selina Concise Mathematics ICSE Solutions for Class 7 with Free PDF download option. Selina Publishers Concise Mathematics for Class 7 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines.<\/p>\n Selina Class 7 Maths ICSE Solutions<\/a>Physics<\/a>Chemistry<\/a>Biology<\/a>Geography<\/a>History & Civics<\/a><\/p>\n EXERCISE 5 (A)<\/strong><\/span><\/p>\n Question 1.<\/strong><\/span> Solution:<\/strong><\/span> Question 2.<\/strong><\/span> Solution:<\/strong><\/span> Question 3.<\/strong><\/span> Solution:<\/strong><\/span> Question 4.<\/strong><\/span> Solution:<\/strong><\/span> Question 5.<\/strong><\/span> Solution:<\/strong><\/span> Question 6.<\/strong><\/span> Solution:<\/strong><\/span> (ii)<\/strong> 1250 (iii)<\/strong> 1458 (iv)<\/strong> 3600 (v)<\/strong> 1350 (vi)<\/strong> 1176 Question 7.<\/strong><\/span> Solution:<\/strong><\/span> (ii)<\/strong> (b – a)2<\/sup> (iii)<\/strong> (a x b)a<\/sup> (iv)<\/strong> (a x b)b<\/sup> Question 8.<\/strong><\/span> (ii)<\/strong> 343 as a power of 7. (iii)<\/strong> 729 as a power of 3. Question 9.<\/strong><\/span> Solution:<\/strong><\/span> Question 10.<\/strong><\/span> Solution:<\/strong><\/span> (ii)<\/strong> 2b<\/sup> x 5a<\/sup> EXERCISE 5 (B)<\/strong><\/span><\/p>\n
\nFind the value of:<\/strong>
\n (i) 6\u00b2\u00a0<\/strong>
\n (ii) 73<\/sup><\/strong>
\n (iii) 44<\/sup><\/strong>
\n (iv) 55<\/sup><\/strong>
\n (v) 83<\/sup><\/strong>
\n (vi) 75<\/sup><\/strong><\/p>\n
\n(i)<\/strong> 62<\/sup> = 6 x 6 = 36
\n(ii)<\/strong> 73<\/sup> = 7 x 7 x 7 = 343
\n(iii)<\/strong> 44<\/sup> = 4 x 4 x 4 x 4 = 256
\n(iv)<\/strong> 55<\/sup>= 5 x 5 x 5 x 5 x 5 = 3125
\n(v)<\/strong> 83<\/sup> = 8 x 8 x 8 = 512
\n(vi)<\/strong> 75\u00a0<\/sup>= 7 x 7 x 7 x 7 x 7 =16807<\/p>\n
\nEvaluate:<\/strong>
\n (i) 23<\/sup> x 42<\/sup><\/strong>
\n (ii) 23<\/sup> x\u00a052<\/sup><\/strong>
\n (iii) 33<\/sup> x 52<\/sup><\/strong>
\n (iv) 22<\/sup> x 33<\/sup><\/strong>
\n (v) 32<\/sup> x 52<\/sup><\/strong>
\n (vi) 53<\/sup> x 24<\/sup><\/strong>
\n (vii) 32\u00a0<\/sup>x 42<\/sup><\/strong>
\n (ix) (5 x 4)2<\/sup><\/strong><\/p>\n
\n(i)<\/strong> 23<\/sup> x 42<\/sup>
\n= 2 x 2 x 2 x 4 x 4
\n= 8 x 16
\n= 128
\n(ii)<\/strong> 23<\/sup> x 52<\/sup>
\n= 2 x 2 x 2 x 5 x 5
\n= 8 x 25
\n= 200
\n(iii)<\/strong> 33<\/sup> x 52<\/sup>
\n=3 x 3 x 3 x 5 x 5
\n= 27 x 25
\n= 675
\n(iv)<\/strong> 22<\/sup> x 33<\/sup>
\n= 2 x 2 x 3 x 3 x 3
\n= 4 x 27
\n= 108
\n(v)<\/strong> 32<\/sup> x 53<\/sup>
\n=3 x3 x 5 x 5 x 5
\n= 9 x 125
\n= 1125
\n(vi)<\/strong> 53<\/sup> x 24<\/sup>
\n= 5 x 5 x 5 x 2 x 2 x 2 x 2
\n= 125 x 16
\n= 2000
\n(vii)<\/strong> 32<\/sup> x 42<\/sup>
\n=3 x 3 x 4 x 4
\n= 9 x 16
\n=144
\n(viii)<\/strong> (4 x 3)3<\/sup>
\n=4 x 4 x 4 x 3 x 3 x 3
\n= 64 x 27
\n= 1728
\n(ix)<\/strong> (5 x 4)2<\/sup>
\n=5 x 5 x 4 x 4
\n= 25 x 16
\n= 400<\/p>\n
\nEvaluate:<\/strong>
\n<\/p>\n
\n<\/p>\n
\nEvaluate :<\/strong>
\n<\/p>\n
\n
\n<\/p>\n
\nWhich is greater :<\/strong>
\n (i) 23<\/sup> or 32<\/sup>
\n(ii) 25<\/sup> or 52<\/sup><\/strong>
\n (iii) 43<\/sup> or 34<\/sup>
\n(iv) 54<\/sup> or 45<\/sup><\/strong><\/p>\n
\n(i)<\/strong> 23<\/sup> or 33<\/sup>
\nSince, 23<\/sup> = 2 x 2 x 2 = 8
\nand, 32<\/sup> = 3 x 3 = 9
\n\u22359 is greater than 8 \u21d2 32<\/sup> > 23<\/sup>
\n(ii)<\/strong> 25<\/sup> or 52<\/sup>
\nSince, 25<\/sup> = 2 x 2 x 2 x 2 x 2 = 32
\nand, 52<\/sup> = 5 x 5 = 25
\n\u223532 is greater than 25 \u21d2 235<\/sup> > 532<\/sup>
\n(iii)<\/strong> 43<\/sup> or 34<\/sup>
\nSince, 43<\/sup> = 4 x 4 x 4 = 64
\nand, 34<\/sup> = 3 x 3 x 3 x 3 = 81
\n\u2235 81 is greater than 64 \u21d2 34<\/sup> > 43<\/sup>
\n(iv)<\/strong> 54<\/sup> or 45<\/sup>
\nSince, 54<\/sup> = 5 x 5 x 5 x 5 = 625
\nand, 45\u00a0<\/sup>= 4 x 4 x 4 x 4 x 4= 1024
\n\u2235 1024 is greater than 625 \u21d2 45<\/sup> > 54<\/sup><\/p>\n
\nExpress each of the following in exponential form :<\/strong>
\n (i) 512<\/strong>
\n (ii) 1250<\/strong>
\n (iii) 1458<\/strong>
\n (iv) 3600<\/strong>
\n (v) 1350<\/strong>
\n (vi) 1176<\/strong><\/p>\n
\n(i)<\/strong> 512
\n<\/p>\n
\n<\/p>\n
\n<\/p>\n
\n<\/p>\n
\n<\/p>\n
\n<\/p>\n
\nIf a = 2 and b = 3, find the value of:<\/strong>
\n (i) (a + b)2<\/sup><\/strong>
\n (ii) (b – a)3<\/sup><\/strong>
\n (iii) (a x b)a (iv) (a x b)b<\/strong><\/p>\n
\n(i)<\/strong> (a + b)2<\/sup>
\n= (2 + 3)2<\/sup> = (5)2<\/sup> = 5 x 5 = 25<\/p>\n
\n= (3 – 2)2<\/sup>= (1)3<\/sup>
\n= 1 x 1 x 1 = 1<\/p>\n
\n= (2 x 3)2<\/sup> – (6)2<\/sup>
\n= 6 x 6 = 36<\/p>\n
\n= (2 x 3)3<\/sup> = (6)3<\/sup> = 6 x 6 x 6 = 216<\/p>\n
\nExpress:<\/strong>
\n (i) 1024 as a power of 2.<\/strong>
\n (ii) 343 as a power of 7.<\/strong>
\n (iii) 729 as a power of 3.<\/strong>
\nSolution:<\/strong><\/span>
\n(i)<\/strong> 1024 as a power of 2.
\n<\/p>\n
\n<\/p>\n
\n<\/p>\n
\nIf 27 x 32 = 3x<\/sup>\u00a0x 2y<\/sup>; find the values of x and y.<\/strong>
\n<\/p>\n
\n<\/p>\n
\nIf 64 x 625 = 2a<\/sup> x 5b<\/sup>; find :<\/strong>
\n (i) the values of a and b.<\/strong>
\n (ii) 2b<\/sup> x 5a<\/sup><\/strong><\/p>\n
\n(i)<\/strong> the values of a and b.
\n<\/p>\n
\n<\/p>\n